{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1.导入数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import torch\n",
    "from torch import nn\n",
    "from d2l import torch as d2l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1460, 81)\n",
      "(1459, 80)\n"
     ]
    }
   ],
   "source": [
    "DATA_URL = \"./Dataset/Kaggle/\"\n",
    "\n",
    "data_train = pd.read_csv(DATA_URL+\"train.csv\")\n",
    "data_test = pd.read_csv(DATA_URL+\"test.csv\")\n",
    "\n",
    "print(data_train.shape)\n",
    "print(data_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.数据预处理"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对所有非对象类型的数据标准化，并填补缺失值\n",
    "\n",
    "数据标准化：\n",
    "\n",
    "$$\n",
    "    x_i = \\frac{x_i - \\mu}{\\sigma}\n",
    "$$\n",
    "\n",
    "标准化后数据的均值为0\n",
    "\n",
    "对所有对象类型转换为离散值：举个例⼦，假设特征MSZoning⾥⾯有两个不同的离散值RL和RM，那么这⼀步转换将**去掉MSZoning特征，并新加两个特征MSZoning_RL和MSZoning_RM**，其值为0或1。如果⼀个样本原来在MSZoning⾥的值为RL，那么有MSZoning_RL=1且MSZoning_RM=0（有n个取值，就变为n个特征项）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2919, 79)\n",
      "(2919, 330)\n"
     ]
    }
   ],
   "source": [
    "'''\n",
    "    输入: DataFrame\n",
    "    输出: 标准化、特征项拓展后的DataFrame\n",
    "'''\n",
    "def normalize(input):\n",
    "    print(input.shape)\n",
    "    # 找到所有非对象类型的数据对应的索引(除外)\n",
    "    data = input\n",
    "    numeric_index = data.dtypes[data.dtypes != 'object'].index\n",
    "    \n",
    "    # 对上述索引对应的值进行标准化计算\n",
    "    data[numeric_index] = data[numeric_index].apply(\n",
    "        lambda x: (x-x.mean()) / x.std()\n",
    "    )\n",
    "\n",
    "    # 对为NA的地方用均值0填充\n",
    "    data[numeric_index] = data[numeric_index].fillna(0)\n",
    "    # 处理对象类型数据项\n",
    "    # get_dummies函数只会处理非数值类型\n",
    "    data = pd.get_dummies(data, dummy_na=True)  # NA也作为一个特征项\n",
    "    print(data.shape)\n",
    "\n",
    "    return data\n",
    "\n",
    "all_features = pd.concat((data_train.iloc[:,1:-1], data_test.iloc[:,1:]))\n",
    "all_features = normalize(all_features)\n",
    "\n",
    "# 获取训练数据条数\n",
    "n_train = data_train.shape[0]\n",
    "\n",
    "# 获取训练特征（values属性获取ndarray数组）\n",
    "train_features = torch.tensor(all_features.iloc[:n_train].values.astype(np.float32))                    # (1460, 330)\n",
    "\n",
    "# 获取训练标签\n",
    "train_labels = torch.tensor(data_train.SalePrice.values.astype(np.float32)).reshape(-1,1)              # (1460, 1)\n",
    "\n",
    "# 获取测试特征\n",
    "test_features = torch.tensor(all_features.iloc[n_train:].values.astype(np.float32))      # (1459, 330)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Series：一维、可进行矢量运算、索引可重复的字典\n",
    "- DataFrame：二维、可进行矢量运算的表\n",
    "- lambda表达式：\n",
    "  ```py\n",
    "      lambda 参数列表: 表达式\n",
    "  ```\n",
    "  - 参数列表：函数的参数，可以有多个，用逗号分隔。\n",
    "  - 表达式：函数体，执行一些操作并返回结果。lambda 函数只能包含一个表达式，该表达式的结果就是返回值。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3.定义模型"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "线性回归模型 + 自定义损失"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_num = train_features.shape[1]\n",
    "\n",
    "def net():\n",
    "    ret = nn.Sequential(\n",
    "        nn.Linear(input_num, 1)\n",
    "    )\n",
    "    return ret\n",
    "\n",
    "\n",
    "def log_rmse(features, labels):\n",
    "    return torch.sqrt(torch.mean((torch.log(features) - torch.log(labels))**2)).item()\n",
    "\n",
    "loss = nn.MSELoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.开始训练"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x215dbea6800>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from torch.utils import data\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def train(net, train_features, train_labels, test_features, test_labels, epochs, lr, weight_decay, batch_size):\n",
    "\n",
    "    train_dataloader = data.DataLoader(\n",
    "        data.TensorDataset(train_features, train_labels), batch_size, shuffle=True\n",
    "    )\n",
    "    optimizer = torch.optim.Adam(net.parameters(), lr = lr, weight_decay = weight_decay)\n",
    "\n",
    "    train_loss = []\n",
    "    test_loss = []\n",
    "\n",
    "    for epoch in range(epochs):\n",
    "        train_iter = iter(train_dataloader)\n",
    "        for x,y in train_iter:\n",
    "            l = loss(net(x), y)\n",
    "            optimizer.zero_grad()\n",
    "            l.backward()\n",
    "            optimizer.step()\n",
    "        train_loss.append(log_rmse(net(train_features), train_labels))\n",
    "        if test_labels is not None:\n",
    "            test_loss.append(log_rmse(net(test_features), test_labels))\n",
    "    \n",
    "    return train_loss, test_loss\n",
    "\n",
    "\n",
    "res = train(net(), \n",
    "      train_features = train_features,\n",
    "      train_labels = train_labels,\n",
    "      test_features=test_features,\n",
    "      test_labels=None,\n",
    "      epochs=20,\n",
    "      lr=5,\n",
    "      weight_decay=0,\n",
    "      batch_size=64)\n",
    "\n",
    "plt.plot(res[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5.K则交叉验证"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "把训练数据分成K份，每次取1份作为验证集，取K-1份作为训练集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(0.16562972962856293, 0.15282997488975525)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def k_cross_train(k, data_features, data_labels, epochs, batch_size, lr, weight_decay):\n",
    "    total_size = data_features.shape[0]\n",
    "    each_size = total_size // k\n",
    "\n",
    "    for i in range(k):\n",
    "        record_train_loss = []\n",
    "        record_val_loss = []\n",
    "\n",
    "        # 获取训练集和验证集索引\n",
    "        idx_train_part1 = slice(0, i*each_size)             # 如果超出，只会返回有效范围的数据\n",
    "        idx_val = slice(i*each_size, (i+1)*each_size)\n",
    "        idx_train_part2 = slice((i+1)*each_size, None)\n",
    "\n",
    "        # 划分验证数据\n",
    "        val_features =  data_features[idx_val,:]\n",
    "        val_labels = data_labels[idx_val,:]\n",
    "\n",
    "        # 划分训练数据\n",
    "        train_features = torch.concat((data_features[idx_train_part1], data_features[idx_train_part2]))\n",
    "        train_labels = torch.concat((data_labels[idx_train_part1], data_labels[idx_train_part2]))\n",
    "\n",
    "        # 开始训练\n",
    "        train_loss , val_loss = train(net(), train_features, train_labels, val_features, val_labels, epochs, lr, weight_decay, batch_size)\n",
    "\n",
    "        # 保存损失\n",
    "        record_train_loss.append(train_loss[-1])     # 把最后一个训练结果加到记录里去\n",
    "        record_val_loss.append(val_loss[-1])\n",
    "\n",
    "        # 画图\n",
    "        plt.figure()\n",
    "        plt.title(f'k={k}, i={i+1}')\n",
    "        plt.plot(train_loss, label='train_loss')\n",
    "        plt.plot(val_loss, label='val_loss')\n",
    "        plt.legend()\n",
    "        plt.show()\n",
    "\n",
    "    return np.mean(record_train_loss), np.mean(record_val_loss)\n",
    "\n",
    "k_cross_train(10, train_features, train_labels, epochs=100, batch_size=64, lr=5, weight_decay=0)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "torch",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
